A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression

Low-rank tensors are an established framework for the parametrization of multivariate polynomials. We propose to extend this framework by including the concept of block-sparsity to efficiently parametrize homogeneous, multivariate polynomials with low-rank tensors. This provides a representation of...

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Bibliographic Details
Main Authors: Michael Götte, Reinhold Schneider, Philipp Trunschke
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-09-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2021.702486/full

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